Univ Arizona, Dept Math
MetadataShow full item record
PublisherJohn Wiley & Sons
CitationPrincipal 2-Blocks and Sylow 2-Subgroups, Bull. Lond. Math. Soc., 50 (2018), 733-744.
Rights© 2018 London Mathematical Society.
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at email@example.com.
AbstractLet G be a finite group with Sylow 2-subgroup P. Navarro–Tiep–Vallejo have conjectured that the principal 2-block of N_G(P) contains exactly one irreducible Brauer character if and only if all odd-degree ordinary irreducible characters in the principal 2-block of G are fixed by a certain Galois automorphism. Recent work of Navarro–Vallejo has reduced this conjecture to a problem about finite simple groups. We show that their conjecture holds for all finite simple groups, thus establishing the conjecture for all finite groups.
Note12 month embargo; first published 16 July 2018
VersionFinal accepted manuscript
SponsorsSimons Foundation, Award #351233. National Science Foundation, Grant No. DMS-1440140.